# Notes on G 2 : The Lie algebra and the Lie group

@article{Fontanals2017NotesOG, title={Notes on G 2 : The Lie algebra and the Lie group}, author={Cristina Draper Fontanals}, journal={Differential Geometry and Its Applications}, year={2017}, volume={57}, pages={23-74} }

Abstract These notes have been prepared for the Workshop on “(Non)-existence of complex structures on S 6 ”, celebrated in Marburg in March, 2017. The material is not intended to be original. It contains a survey about the smallest of the exceptional Lie groups: G 2 , its definition and different characterizations as well as its relationship to the spheres S 6 and S 7 . With the exception of the summary of the Killing–Cartan classification, this survey is self-contained, and all the proofs are…

## 5 Citations

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We review results on and around the almost complex structure on $S^6$, both from a classical and a modern point of view. These notes have been prepared for the Workshop "(Non)-existence of complex…

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